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Isosceles triangle theorem
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4
Answer:
Step-by-step explanation:
(i)triangles are congruent by S.A.S test
the explanation is there in the given attachment :)
(ii)angle ABD = angle ACD ( c.a.c.t)
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Answer:
( sec θ - cos θ ) ( cot θ + tan θ ) = tan θ sec θsinθ(1+tanθ)+cosθ(1+cotθ)
=sinθ+
cosθ
sin
2
θ
+cosθ+
sinθ
cos
2
θ
=sinθ+
sinθ
cos
2
θ
+
cosθ
sin
2
θ
+cosθ
A=
sinθ
sin
2
θ+cos
2
θ
+
cosθ
sin
2
θ+cos
2
θ
As,sin
2
θ+cos
2
θ=1
A=
sinθ
1
+
cosθ
1
= cosecθ+secθ
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